Triangle Theory Building
Students build a theory of triangles by listing claims, constructing proof trees through assumption digging, and discovering definitions, axioms, and the structure of mathematical reasoning.
Grades 8-11
Triangle Theory Building: Teacher Guide
Teacher Guide · 3-4 sessions
Triangle Theory Building: Student Handout
Student Handout · 3-4 sessions
Triangle Theory Building: Key Episodes
Key Episodes
Triangle Theory Building: Assessment
Assessment
Reference methods
Inquire Mathematical Thinking Framework
A citable overview of Inquire's approach to mathematical thinking: definitions, assumptions, examples, counterexamples, conjectures, and proof.
Criteria for Evaluating Theories
A reference-only answer object for K.P. Mohanan and Tara Mohanan's cross-disciplinary criteria for evaluating theories.
Constructing and Evaluating Qualitative Formalisms
A reference-only answer object for K.P. Mohanan's position on teaching students to construct and evaluate qualitative formalisms in inquiry education.